Search a number
balanced n.  and  untouchable n.

First numbers that belong to both sets:

2, 52, 120, 210, 216, 268, 290, 304, 426, 518, 520, 552, 612, 624, 626, 628, 658, 668, 714, 738, 782, 818, 852, 872, 894, 898, 902, 936, 964, 976, 1102, 1346, 1398, 1758, 1766, 1830, 1922, 1986, 2022, 2158, 2226, 2262, 2364, 2410, 2430, 2446, 2454, 2482, 2484, 2502, 2514, 2530, 2586, 2590, 2606, 2614, 2642, 2726, 2758, 2762, 2766, 2788, 2902, 2914, 2950, 2968, 2978, 2984, 2992, 3102, 3126, 3132, 3162, 3174, 3186, 3228, 3238, 3270, 3276, 3312, 3356, 3366, 3378, 3384, 3402, 3412, 3428, 3432, 3476, 3504, 3524, 3636, 3666, 3682, 3684, 3746, 3748, 3752, 3760, 3792, 3808, 3860, 3876, 3888, 3936, 3972, 4032, 8382, 8442, 8510, 8558, 8572, 8606, 8620, 8622, 8634, 8636, 8662, 8814, 8826, 8886, 8892, 8922, 8948, 8950, 8980, 8990, 9020, 9066, 9074, 9116, 9126, 9144, 9170, 9172, 9192, 9390, 9402, 9430, 9446, 9450, 9452, 9502, 9518, 9532, 9564, 9574, 9578, 9592, 9628, 9638, 9642, 9684, 9712, 9758, 9786, 9844, 9848, 9894, 9898, 9906, 9956, 9960, 9998, 10006, 10022, 10028, 10054, 10066, 10118, 10130, 10132, 10146, 10148, 10192, 10398, 10422, 10446, 10484, 10526, 10542, 10554, 10556, 10582, 10612, 10638, 10646, 10650, 10662, 10700, 10708, 10722, 10798, 10812, 10902, 10930, 10932, 10962, 10964, 10968, 10978, 11034, 11046, 11064, 11078, 11082, 11106, 11146, 11154, 11202, 11220, 11232, 11310, 11342, 11366, 11378, 11380, 11406, 11430, 11436, 11442, 11462, 11466, 11480, 11496, 11542, 11562, 11564, 11570, 11572, 11602, 11608, 11666, 11672, 11688, 11714, 11716, 11818, 11820, 11826, 11846, 11858, 11880, 11952, 12000, 12068, 12080, 12128, 12130, 12168, 12224, 12300, 12470, 12508, 12522, 12532, 12536, 12636, 12710, 12756, 12772, 12846, 12878, 12950, 13016, 13026, 13028, 13070, 13108, 13138, 13140, 13144, 13156, 13194, 13202, 13204, 13224, 13256, 13358, 13372.

Some larger examples :